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Finding the Fourth Proportional to 30,971, 42,740.34 and 16,824.08

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Solution

The fourth proportional to 30,971, 42,740.34 and 16,824.08 is: 23,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 42,740.34 = 16,824.08 : x
  2. Step 2: Convert to fraction form
    30,971/42,740.34 = 16,824.08/x
  3. Step 3: Cross multiply
    30,971x = 42,740.34 × 16,824.08
  4. Step 4: Simplify right side
    30,971x = 719,066,899.39
  5. Step 5: Solve for x
    x = 719,066,899.39/30,971
  6. Step 6: Final answer
    x = 23,217.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.